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Finding the Fourth Proportional to 38.02, 52.41 and 33.09

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Solution

The fourth proportional to 38.02, 52.41 and 33.09 is: 45.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.02 : 52.41 = 33.09 : x
  2. Step 2: Convert to fraction form
    38.02/52.41 = 33.09/x
  3. Step 3: Cross multiply
    38.02x = 52.41 × 33.09
  4. Step 4: Simplify right side
    38.02x = 1,734.25
  5. Step 5: Solve for x
    x = 1,734.25/38.02
  6. Step 6: Final answer
    x = 45.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.